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aleksley [76]
3 years ago
8

What is 3 1/4 divided by 2/3 with all of the steps?

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

4 7/8

Step-by-step explanation:

3 1/4 / 2/3

convert mixed numbers to improper fractions: 3 1/4 / 2/3

13/4 / 2/3

apply the fraction rule: a/b / c/d = a/b * d/c

= 13/4 * 3/2

multiply fractions: a/b * c/d = (a * c)/(b * d)

= (13 * 3)/(4 * 2)

multiply the numbers: 13 * 3 = 39

= 39/(4 * 2)

multiply the numbers: 4 * 2 = 8

= 39/8

convert improper fractions to mixed numbers: 39/8 = 4 7/8

= 4 7/8

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Find the approximate circumference of a circle with a diameter of 100 yards.
elixir [45]

Answer:

D. 314 yds

Step-by-step explanation:

Given:

Diameter = 100 yds

Required;

Circumference of the circle

Solution:

Circumference of circle = πd

Plug in the value

Circumference = π × 100

= 314 yds (nearest whole number)

5 0
3 years ago
Jeremy has 50 ft of fencing to enclose a rectangular-pen for his dog. He plans on using a side of his house for one side of the
kotykmax [81]

The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.

<h3>What is the dimension of length and width?</h3>

We know that,

P = l + 2w

50 = l + 2w

50 - 2w = l

A = l x w

288 = (50 - 2w)w

288 = 50w -2w²

2w² - 50w + 288

By dividing throughout by 2

w² - 25w + 144

This is in quadratic equation form.

By applying quadratic formula,

w = (-(-25) ± \sqrt{(-25)^{2}-4*1*144) / 2

w = (-(-25) ± 7)/2

w1 =  (-(-25) + 7)/2

w1 = (25 + 7) / 2

w1 = 16

w2 =  (-(-25) - 7)/2

w2 = (25 - 7) / 2

w2 = 9

By substituting the values in eq1,

A = l x w

if w = 16

288 = l x 16

l = 288/16

l = 18

if w = 9

288 = l x 9

l = 288/9

l = 32

The dimensions will be length is 18 and width is 16 or length is 32 and width is 9.

To learn more about area of rectangle refer to :

brainly.com/question/25292087

#SPJ1

3 0
1 year ago
If 4 Maths books are selected from 6 different Maths different English books, how many ways can the seven om Maths books and 3 E
alexgriva [62]

Answer:

Please see the answer below

Step-by-step explanation:

a. Since there’s no restrictions .Therefore , the number of ways = 7!*150 = 756000

b. The number of ways such that the 4 math books remain together

The pattern is as follows:  MMMMEEE, EMMMMEE, EEMMMME, and EEEMMMM

Where M = Math’s Book and E= English Book.  

Number of ways = 4!*8!*4*150= 86400 ways.

c. The number of ways such that  math book is at the beginning of the shelf

The number of ways = 6!*4*150 = 432000

d. The number of ways such that  math and English books alternate

The number of ways = 150*4!*3! =2160 ways

e.  The number of ways such that math is at the beginning and an English book is in the middle of the shelf. The number of ways = 4*3*5!*150 =216000 ways.

6 0
3 years ago
The average price of a gallon of gas increased by 12% in 2010 and by 10% in 2011. By what percentage did the average price of a
Leto [7]

Answer:

16.67% increase

Step-by-step explanation:

finding the percentage price increase

we need to find the difference in percentage price between the 2 years

12%-10% = 2%

2%/12% x 100% = 100%/6 = 16.67%

20% increase between January 1st 2010 and January 1st 2011

7 0
3 years ago
The LCD for the fraction 1/3 , 3/4 , 5/32 , and 8/9 Is?
RSB [31]
The answer would be a. 288. hope that helped
3 0
3 years ago
Read 2 more answers
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